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Questions in Grade College

📝 Answered - Write the equation of the line tangent to [tex]f(x)=\cos x[/tex] when [tex]x=\frac{3 \pi}{2}[/tex] a.) [tex]y=x-\frac{3 \pi}{2}[/tex] b.) [tex]y=-x+\frac{3 \pi}{2}[/tex] c.) [tex]y=-x-\frac{3 \pi}{2}[/tex] d.) [tex]y=x+\frac{3 \pi}{2}[/tex]

📝 Answered - Find the square root of each number. [tex]\begin{array}{l} \sqrt{81}=\square \ \sqrt{169}=\square \end{array}[/tex]

📝 Answered - Select all the correct locations on the table. Consider the following expression. [tex]$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$[/tex] Select "equivalent" or "not equivalent" to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column. \begin{tabular}{|l|l|l|l|} \hline [tex]$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$[/tex] & Equivalent & Not Equivalent & 343 \\ \hline [tex]$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$[/tex] & Equivalent & Not Equivalent & 49 \\ \hline [tex]$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$[/tex] & Equivalent & Not Equivalent & [tex]$7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}$[/tex] \\ \hline [tex]$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$[/tex] & Equivalent & Not Equivalent & [tex]$49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$[/tex] \\ \hline \end{tabular}

📝 Answered - How were the colonists mostly punished for the Boston Tea Party? A. The British started requiring a stamp on all documents. B. The British placed an extra tax on sugar. C. The British gave them a series of punishments, known as the Intolerable Acts to colonists. D. The British closed the Boston Port

📝 Answered - Select the correct descriptions of the function. The table gives the values of a function. [tex]\begin{tabular}{|c|c|}\hline$x$ & $y$ \\ \hline 1 & 5 \\ \hline 2 & 5 \\ \hline 3 & 5 \\ \hline \end{tabular}[/tex] Identify the phrases that correctly describe this function. $\square$ constant rate $\square$ constant function $\square$ linear function $\square$ nonlinear function $\square$ increasing function $\square$ decreasing function

📝 Answered - Find the derivative of: [tex]f(x)=-5 \sin ^2\left(-2 x^8\right)[/tex]. Hint: [tex]\sin ^2(x)=[\sin (x)]^2[/tex] ... so use the chain rule (twice!).

📝 Answered - List and describe 4 types of early people.

📝 Answered - Is the expression [tex]x^3 \cdot x^3 \cdot x^3[/tex] equivalent to [tex]x^{3 \cdot 3 \cdot 3}[/tex], or why not? Explain your reasoning. A. Yes, because when multiplying powers with the same exponent, you multiply the bases. B. No, because [tex]x^3 \cdot x^3 \cdot x^3 = x^9[/tex] while [tex]x^{3 \cdot 3 \cdot 3} = x^{27}[/tex], and these are not the same. C. Yes, because the numbers 3 and exponent 3 can be interchanged without changing the result.

📝 Answered - Points $P, Q, R$, and $S$ are collinear. Point $Q$ is between $P$ and $R, R$ is between $Q$ and $S$, and $\overline{P Q} \cong \overline{R S}$. If $P S=24$ and $P R=20$, what is the value of $Q R$?

📝 Answered - Terrell Company reported the following data at the end of its first year of operations on December 31. \begin{tabular}{lr} Equipment & $ 18,000 \\ Accounts payable & 7,000 \\ Owner investments & 22,000 \\ Terrell, Withdrawals & 5,000 \\ Services revenue & 48,000 \\ Rent revenue & 9,000 \\ Salaries expense & 37,000 \\ Advertising expense & 3,000 \\ Utilities expense & 1,000 \end{tabular} Prepare its year-end statement of owner's equity, using net income calculated in part a. Hint: Terrell, Capital on January 1 was $0.